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Dislocation motion and solid‐state turbulence
1.B. A. Huberman and J. Crutchfield, Phys. Rev. Lett. 43, 1743 (1979).
2.A. V. Granato and K. Lucke, in Physical Acoustics, edited by W. P. Mason (Academic, New York, 1966), Vol. 4A, p. 226.
3.For other examples of chaotic motion in dissipative systems, see Prog. Theor. Phys. Suppl. 64 (1978).
4.A. Seeger, Philos. Mag. 1, 651 (1956). One may perhaps wonder about the applicability of this equation for displacements ξ of the dislocations less than A possible solution is to define ξ so that the asymptotic strain field at large distances (but less than an acoustic wavelength) varies linearly with ξ. This will then make the driving term of the right‐hand side of Eq. (1) correct, but the mass and damping coefficients may depend somewhat on ξ. Pending further analysis, we shall assume that such dependences will not alter the qualitative behavior of the equation.
5.A. H. Cottrell, Dislocations and Plastic Flow of Crystals (Clarendon, Oxford, 1953).
6.We are indebted to A. V. Granato for calling our attention to this mode of vibration.
7.W. P. Mason, in Ref. 2, p. 299.
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